TECHNICAL PAPERS
Jan 1, 1997

Analytical and Numerical Solutions for Frames with Softening Hinges

Publication: Journal of Engineering Mechanics
Volume 123, Issue 1

Abstract

The paper describes beam elements with inelastic hinges capable of modeling softening due to damage in building frames under severe loadings. A condition for uniqueness on the element level is derived, and the behavior of the model is compared to analytical solutions of simple structures (a single column and a portal frame). An application to postpeak analysis of a multibay frame is presented. Depending on the beam-to-column stiffness ratio and on a certain ductility parameter, various failure modes can occur, ranging from distributed to highly localized ones. This leads to a special type of size effect on the peak load, which is assessed numerically and related to analytically derived solutions valid in extreme situations—the elastic limit and the plastic limit.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bažant, Z. P. (1976). “Instability, ductility, and size effect in strain-softening concrete.”J. Engrg. Mech., ASCE, 102(2), 331–344; “Closure to,” 103, 357–8 and 775–7.
2.
Bažant, Z. P., and Cedolin, L. (1991). Stability of structures: elastic, inelastic, fracture and damage theories. Oxford Univ. Press, New York, N.Y.
3.
Bažant, Z. P., and Jirásek, M. (1995). “Seismic localization of softening cracking damage in concrete frames.”Fracture Mechanics of Concrete Structures, Proc., FraMCoS-2, F. H. Wittmann, ed., Aedificatio Publishers, Freiburg, Germany, 1397–1406.
4.
Bažant, Z. P., and Jirásek, M.(1996). “Softening-induced dynamic localization instability: seismic damage in frames.”J. Engrg. Mech., ASCE, 122(12), 1149–1158.
5.
Bažant, Z. P., and Kazemi, M. T. (1994). “Localization of softening damage in frames and implications for earthquake resistance.”Proc., 5th U.S. Nat. Conf. on Earthquake Engrg., Vol. 1, Earthquake Engrg. Res. Inst., Oakland, Calif., 313–322.
6.
Bažant, Z. P., Pan, J.-Y., and Pijaudier-Cabot, G.(1987a). “Softening in reinforced concrete beams and frames.”J. Struct. Engrg., ASCE, 113(12), 2333–2347.
7.
Bažant, Z. P., Pijaudier-Cabot, G., and Pan, J.-Y.(1987b). “Ductility, snapback, size effect, and redistribution in softening beams and frames.”J. Struct. Engrg., ASCE, 113(12), 2348–2364.
8.
Cranston, W. B. (1965). “Tests on reinforced concrete frames. I: Pinned portal frames.”Tech. Rep. TRA/392, Cement and Concrete Assn., London, England.
9.
Darvall, P. L.(1984). “Critical softening of hinges in portal frames.”J. Struct. Engrg., ASCE, 110(1), 157–162.
10.
Hunt, G. W., and Baker, G.(1995). “Principles of localization in the fracture of quasi-brittle structure.”J. Mech. and Phys. of Solids, 43, 1127–1150.
11.
Maier, G., and Zavelani, A.(1970). “Sul comportamento di aste metalliche compresse eccentricamente. Indagine sperimentale e considerazioni teoriche.”Costruzioni Metalliche, 22(4), 282–297.
12.
Maier, G. (1971). “Instability due to strain softening.”Stability of Continuous Systems, Proc., IUTAM Symp., Springer-Verlag, KG, Berlin, 411–417.
13.
Maier, G., Zavelani, A., and Dotreppe, J. C.(1973). “Equilibrium branching due to flexural softening.”J. Engrg. Mech., ASCE, 99(4), 897–901.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 123Issue 1January 1997
Pages: 8 - 14

History

Published online: Jan 1, 1997
Published in print: Jan 1997

Permissions

Request permissions for this article.

Authors

Affiliations

Milan Jirásek
Res. Assoc., Swiss Fed. Inst. of Technol., LSC-DGC, EPFL, CH-1015 Lausanne, Switzerland; formerly, Asst. Prof., Czech Tech. Univ. (ČVUT), Prague, Czech Republic.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share